The circumference of the wire is 4x and the area of the circle is 4x^2/π
How to determine the circumference?
The length of the wire is given as;
Length = 4x
This represents the circumference.
Hence, the circumference of the wire is 4x
How to determine the area?
In (a), we have:
Circumference = 4x
Calculate the radius using:
2πr = 4x
Divide through by 2π
r = 2x/π
The area is:
Area = πr^2
This gives
Area = π(2x/π)^2
Evaluate
Area = 4x^2/π
Hence, the area of the circle is 4x^2/π
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